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100221101022200 = 235211174013111791
BaseRepresentation
bin10110110010011010001011…
…001000000001101111111000
3111010212001011211220012112212
4112302122023020001233320
5101114010303330202300
6553052534352554252
730052510211624354
oct2662321310015770
9433761154805485
10100221101022200
1129a2a59184a6a4
12b2a762bb52988
1343bca69c8aa72
141aa6a27502464
15b8beaa498935
hex5b268b201bf8

100221101022200 has 96 divisors (see below), whose sum is σ = 233282870458560. Its totient is φ = 40042212134400.

The previous prime is 100221101022193. The next prime is 100221101022227. The reversal of 100221101022200 is 2220101122001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 896448305 + ... + 896560095.

It is an arithmetic number, because the mean of its divisors is an integer number (2430029900610).

Almost surely, 2100221101022200 is an apocalyptic number.

100221101022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221101022200 is an abundant number, since it is smaller than the sum of its proper divisors (133061769436360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100221101022200 is a wasteful number, since it uses less digits than its factorization.

100221101022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116937 (or 116928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100221101022200 its reverse (2220101122001), we get a palindrome (102441202144201).

The spelling of 100221101022200 in words is "one hundred trillion, two hundred twenty-one billion, one hundred one million, twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1117 2234 4013 4468 5585 8026 8936 11170 16052 20065 22340 27925 32104 40130 44680 55850 80260 100325 111700 111791 160520 200650 223400 223582 401300 447164 558955 802600 894328 1117910 2235820 2794775 4471640 4482521 5589550 8965042 11179100 17930084 22358200 22412605 35860168 44825210 89650420 112063025 124870547 179300840 224126050 249741094 448252100 448617283 499482188 624352735 896504200 897234566 998964376 1248705470 1794469132 2243086415 2497410940 3121763675 3588938264 4486172830 4994821880 6243527350 8972345660 11215432075 12487054700 17944691320 22430864150 24974109400 44861728300 89723456600 501105505111 1002211010222 2004422020444 2505527525555 4008844040888 5011055051110 10022110102220 12527637627775 20044220204440 25055275255550 50110550511100 100221101022200